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      <title>10.14.&nbsp;Exact Math - Chapter&nbsp;10.&nbsp;Utility Functions</title>
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      <section class="section" id="exact-math-functions">
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               <div>
                  <h2 class="title" style="clear: both"><a class="anchor" href="#exact-math-functions"></a>10.14.&nbsp;Exact Math
                  </h2>
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         <section class="section" id="_handle_biginteger_and_bigdecimal">
            <div class="titlepage">
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                  <div>
                     <h3 class="title"><a class="anchor" href="#_handle_biginteger_and_bigdecimal"></a>10.14.1.&nbsp;Handle BigInteger And BigDecimal
                     </h3>
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               </div>
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            <div class="informaltable">
               <div class="table" id="d0e13120">
                  <table class="informaltable" border="1">
                     <colgroup>
                        <col class="col_1"></col>
                        <col class="col_2"></col>
                        <col class="col_3"></col>
                     </colgroup>
                     <thead>
                        <tr>
                           <th style="text-align: left; vertical-align: top; ">Statement</th>
                           <th style="text-align: left; vertical-align: top; ">Description</th>
                           <th style="text-align: left; vertical-align: top; ">Return type</th>
                        </tr>
                     </thead>
                     <tbody>
                        <tr>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>RETURN apoc.number.exact.add(stringA,stringB)</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>return the sum&#8217;s result of two large numbers</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>string</p>
                           </td>
                        </tr>
                        <tr>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>RETURN apoc.number.exact.sub(stringA,stringB)</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>return the substraction&#8217;s of two large numbers</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>string</p>
                           </td>
                        </tr>
                        <tr>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>RETURN apoc.number.exact.mul(stringA,stringB,[prec],[roundingModel]</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>return the multiplication&#8217;s result of two large numbers</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>string</p>
                           </td>
                        </tr>
                        <tr>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>RETURN apoc.number.exact.div(stringA,stringB,[prec],[roundingModel])</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>return the division&#8217;s result of two large numbers</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>string</p>
                           </td>
                        </tr>
                        <tr>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>RETURN apoc.number.exact.toInteger(string,[prec],[roundingMode])</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>return the Integer value of a large number</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>Integer</p>
                           </td>
                        </tr>
                        <tr>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>RETURN apoc.number.exact.toFloat(string,[prec],[roundingMode])</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>return the Float value of a large number</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>Float</p>
                           </td>
                        </tr>
                        <tr>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>RETURN apoc.number.exact.toExact(number)</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>return the exact value</p>
                           </td>
                           <td style="text-align: left; vertical-align: top; ">
                              <p>Integer</p>
                           </td>
                        </tr>
                     </tbody>
                  </table>
               </div>
            </div>
            <div class="itemizedlist">
               <ul class="itemizedlist" style="list-style-type: disc; ">
                  <li class="listitem">Possible 'roundingModel' options are <code class="literal">UP</code>, <code class="literal">DOWN</code>, <code class="literal">CEILING</code>, <code class="literal">FLOOR</code>, <code class="literal">HALF_UP</code>, <code class="literal">HALF_DOWN</code>, <code class="literal">HALF_EVEN</code>, <code class="literal">UNNECESSARY</code></li>
               </ul>
            </div>
            <p>The <code class="literal">prec</code> parameter let us to set the precision of the operation result.
               The default value is 0 (unlimited precision arithmetic) while for 'roundingModel' the default value is <code class="literal">HALF_UP</code>. For other information abouth <code class="literal">prec</code> and <code class="literal">roundingModel</code> see the documentation of <a class="link" href="https://docs.oracle.com/javase/7/docs/api/java/math/MathContext.html" target="_top">MathContext</a></p>
            <p>For example if we set as <code class="literal">prec</code> 2:
            </p><pre class="literallayout">  return apoc.number.exact.div('5555.5555','5', 2, 'HALF_DOWN') as value

  &#9554;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9557;
  &#9474;value    &#9474;
  &#9566;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9569;
  &#9474;  1100   &#9474;
  &#9492;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9496;</pre><p>As a result we have only the first two digits precise.
               If we set 8 we have all the result precise
            </p><pre class="literallayout">  return apoc.number.exact.div('5555.5555','5', 8, 'HALF_DOWN') as value

  &#9554;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9557;
  &#9474;value    &#9474;
  &#9566;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9569;
  &#9474;1111.1111&#9474;
  &#9492;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9496;</pre><p>All the functions accept as input the <span class="strong"><strong>scientific notation</strong></span> as <code class="literal">1E6</code>, for example:
            </p><pre class="literallayout">  return apoc.number.exact.add('1E6','1E6') as value

  &#9554;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9557;
  &#9474;value    &#9474;
  &#9566;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9552;&#9569;
  &#9474; 2000000 &#9474;
  &#9492;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9472;&#9496;</pre><p>For other information see the documentation about <a class="link" href="https://docs.oracle.com/javase/7/docs/api/java/math/BigDecimal.html#" target="_top">BigDecimal</a> and <a class="link" href="https://docs.oracle.com/javase/7/docs/api/java/math/BigInteger.html#" target="_top">BigInteger</a></p>
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